Seminar
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| Location: | SLMath: Online/Virtual, Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
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Smooth intrinsic flat limits with negative curvature
Is it true that a smooth limit of manifolds with scalar curvature bounded below must have the same scalar lower bound? In this talk, I will present new results related to this question in the context of intrinsic flat convergence. We will show that the answer is negative in all dimensions n >= 3, extending a result of Lee and Topping for n >= 4. In fact, we will describe how curvature can change dramatically under intrinsic flat convergence: Our main result produces sequences of manifolds with uniformly positive scalar converging to manifolds with negative Ricci.
This is based on joint work with Paul Sweeney.
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